Fold 2 - Understanding why coefficient -4056730 was selected
Tag: COTTON-BLEND
Selected Coefficient: -4056730
Taxonomy Path: -1.1.18.8
Taxonomy Name:
Products with this tag: 6
Unique residual values tried: 5
The algorithm tries each unique residual value as a candidate coefficient and selects the one with the lowest total p-adic loss. The selected row is highlighted.
| Candidate Value | Total P-adic Loss | Taxonomy Path | P-adic Expansion | Taxonomy Name | Selected? |
|---|---|---|---|---|---|
| -4056730 | 3.012658 | -1.1.18.8 | -8.18.1.1 (-(8*79^3 + 18*79^2 + 79 + 1)) | Yes | |
| -5648106 | 3.025316 | -1.0.36.11 | -11.36.0.1 (-(11*79^3 + 36*79^2 + 1)) | No | |
| -72951049 | 4.000160 | -0.0.76.68.1 | -1.68.76.0.0 (-(38950081 + 68*79^3 + 76*79^2)) | No | |
| 0 | 4.000160 | 0 | 0 (0) | No | |
| 5997681 | 5.000000 | 1.1.13.12 | 12.13.1.1 (12*79^3 + 13*79^2 + 79 + 1) | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | No |
These are the training products that have the "COTTON-BLEND" tag (processing sequence 3986). The residual is the encoded taxonomy value minus all coefficients from previously processed tags.
| Product ID | Title | Residual Before | Taxonomy Before | Tags Already Processed | Residual After | Taxonomy After | Tags Not Yet Processed |
|---|---|---|---|---|---|---|---|
| 11834 | Donnie Turtleneck Sweater | 5997681 | Apparel & Accessories > Clothing > Clothing Tops > Sweaters | none | 10054411 | VALENTINESDAY | |
| 11843 | Dennis Slim Fit Plaid Pants | 0 | CHINO | 4056730 | Apparel & Accessories > Clothing > Socks > Knee Socks | VALENTINESDAY | |
| 11380 | Vader Dotted Fashion Socks | -4056730 | VANNUCCI, SOCKS | 0 | none | ||
| 11819 | Vadala Paisley Fashion Socks | -4056730 | VANNUCCI, SOCKS | 0 | none | ||
| 11804 | Vago Paisley Fashion Socks | -5648106 | VANNUCCI, SOCKS | -1591376 | none | ||
| 11845 | Donnie Turtleneck Sweater | -72951049 | SIZE-2X-LARGE | -68894319 | VALENTINESDAY |